Formulas to Memorize
What is the formula for the discriminant?
b2-4ac
is (x-2) a factor of f(x) = x3 + 2x2 -5x +4?
Why or why not?
NO, because the remainder is not 0
(remainder is 10)
Does this describe Theoretical or Empirical Probability?
What actually happens based on an experiment and observation.
Empirical Probability
Mrs. Favata's statistics class wants to conduct a survey to see how students feel about changing the school mascot's name. Which plan is the best process for gathering an appropriate sample?
1)Survey students in a random sample of senior homerooms.
2)Survey every tenth student entering art classes in the school.
3)Survey every fourth student entering the cafeteria during each lunch period.
4)Survey all members of the school's varsity sports teams.
3)Survey every fourth student entering the cafeteria during each lunch period.
Rewrite as a radical expression
x^3/8 (Write on board)
8 root x^3
What is the formula for the average rate of change?
(y2-y1)/(x2-x1)
The scores on a mathematics readiness assessment are approximately normally distributed with a mean of 680 and a standard deviation of 120. Determine the percentage of scores between 690 and 900, to the nearest percent.
43%
What does the Discriminant tell you?
-The Nature of the roots
-Describes the roots
-Are the roots real, imaginary, irrational, rational, equal, or unequal
Completely factor:
x4 - 5x2 +4
(x+2)(x-2)(x+1)(x-1)
The value of an automobile t years after it was purchased is given by the function V= 38,000(0.84)t. Which statement is true?
A) The value of the car increases 84% each year.
B) The value of the car decreases 84% each year.
C) The value of the car increases 16% each year.
D) The value of the car decreases 16% each year.
D) The value of the car decreases 16% each year.
What is the formula for the period of a sin or cos curve?
2pi/b
Write a Linear Regression Equation for the amount of hours students studied and their grade.
Hours: 0 1 2
Grade: 50 70 90
y = 20x + 50
Give an example (any example! Doesn't need to be complicated) of a COMPLEX NUMBER
Anything number that involves "i"
Given P(A) = 1/3, and P(B) = 5/12, where the events are independent, what is the value of P(A and B)?
5/36
or
.13888...
What quadrant does theta lie in if:
Sin < 0
and
Sec > 0
Quadrant IV
How do you find the 95% Confidence Interval?
Mean +/- 2SD
or
Mean +/-Margin Of Error
If (6-ki)2 = 27 - 36i, the value of k is,
A) -36
B) -3
C) 3
D) 6
C) 3
What is the reciprocal of sin?
csc
A tree farm initially has 150 trees. Each year, 20% of the trees are cut down and 80 seedlings are planted. Which recursive formula models the number of trees, , after n years?
1) a1 = 150
an = an-1(.20) + 80
2) 1) a1 = 150
an = an-1(.80) + 80
3) an = 150(.20)n +80
4) an = 150(.80)n +80
2) 1) a1 = 150
an = an-1(.80) + 80
What is the inverse of
y = (2x - 4)/8
(Write on board)
y = 4x + 2
Write a recursive formula for 2, 4, 6, 8
a1 = 2
an = an-1 +2
Consider the system of equations below - What are the solutions to the given set?
x + 2y - z = 1
-x - 3y + 2z = 0
2x - 4y + z = 10
1) (1, 1, 2) 2) (5, -1, 2)
3) (3, -1, 0) 4) (3, 5, 8)
3) (3, -1, 0)
The Mean +/- Margin of Error describes the
A) The Average
B) The Standard Deviation
C) Confidence Interval
D) The Sample Size
C) Confidence Interval
If f(x) = 2x4 - x3 -16x + 8, then f(.5),
A) equals 0 and 2x+1 is a factor of f(x)
B) equals 0 and 2x-1 is a factor of f(x)
C) does not equal 0 and 2x+1 is not a factor of f(x)
D) does not equal 0 and 2x - 1 is a factor of f(x)
B) equals 0 and 2x-1 is a factor of f(x)
If you invest $6000 at 8% interest, compounded quarterly, how much is in the account at the end of 15 years?
$19,686.18